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Finding the Fourth Proportional to 1,456.17, 2,009.57 and 793.08

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Solution

The fourth proportional to 1,456.17, 2,009.57 and 793.08 is: 1,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.17 : 2,009.57 = 793.08 : x
  2. Step 2: Convert to fraction form
    1,456.17/2,009.57 = 793.08/x
  3. Step 3: Cross multiply
    1,456.17x = 2,009.57 × 793.08
  4. Step 4: Simplify right side
    1,456.17x = 1,593,745.81
  5. Step 5: Solve for x
    x = 1,593,745.81/1,456.17
  6. Step 6: Final answer
    x = 1,094.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.